Question 180905
ok a is given in our scenario
:
F is made up of {{{highlight(1)}}}x multiplied by itself.
{{{system(O,I)}}}is made up of factors of c multiplied by 1x and combined
:
L is factors of c multiplied together
:
for example
:
{{{1x^2+5x+6}}}
:
F=1x*1x
O={{{highlight(2 or 3)*x}}}
I={{{highlight(3 or 2)*x}}}
L={{{highlight(2)*highlight(3)}}}
:
meaning when you reverse FOIL that the first part of factors making up a polynomial of the type {{{1x^2+bx+c}}} is 1x and the last part of the factors comes from factors of c, which when combined with x make up the coefficient of b.
:
hence the factors are (x+2)(x+3)